# Abelian tropical covers

@article{Len2019AbelianTC, title={Abelian tropical covers}, author={Yoav Len and Martin Ulirsch and Dmitry Zakharov}, journal={arXiv: Algebraic Geometry}, year={2019} }

The goal of this article is to classify unramified covers of a fixed tropical base curve $\Gamma$ with an action of a finite abelian group G that preserves and acts transitively on the fibers of the cover. We introduce the notion of dilated cohomology groups for a tropical curve $\Gamma$, which generalize simplicial cohomology groups of $\Gamma$ with coefficients in G by allowing nontrivial stabilizers at vertices and edges. We show that G-covers of $\Gamma$ with a given collection of…

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